Orthogonal Rational Functions

Adhemar Bultheel (Katholieke Universiteit Leuven, Belgium),Pablo Gonzalez-Vera (Universidad de la Laguna, Tenerife),Erik Hendriksen (Universiteit van Amsterdam),Olav Njastad (Norges Teknisk-Naturvitenskapelige Universitet (Ntnu), Norway)

Orthogonal Rational Functions
Format
Hardback
Publisher
Cambridge University Press
Country
United Kingdom
Published
13 February 1999
Pages
424
ISBN
9780521650069

Orthogonal Rational Functions

Adhemar Bultheel (Katholieke Universiteit Leuven, Belgium),Pablo Gonzalez-Vera (Universidad de la Laguna, Tenerife),Erik Hendriksen (Universiteit van Amsterdam),Olav Njastad (Norges Teknisk-Naturvitenskapelige Universitet (Ntnu), Norway)

This volume generalizes the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalized and treated in detail. The same topics are discussed for a different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modeling, lossless inverse scattering, and network synthesis. This theory has many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and electrical engineering.

This item is not currently in-stock. It can be ordered online and is expected to ship in approx 2 weeks

Our stock data is updated periodically, and availability may change throughout the day for in-demand items. Please call the relevant shop for the most current stock information. Prices are subject to change without notice.

Sign in or become a Readings Member to add this title to a wishlist.